Abstract

In the competing risks problem, an important role is played by the
cumulative incidence function (CIF), whose value at time t is the probability
of failure by time t from a particular type of failure in the presence of other
risks. In some cases there are reasons to believe that the CIFs due to various
types of failure are linearly ordered. El Barmi et al. [3] studied the estimation
and inference procedures under this ordering when there are only two causes
of failure. In this paper we extend the results to the case of k CIFs, where
k > 3. Although the analyses are more challenging, we show that most of the
results in the 2-sample case carry over to this fc-sample case.